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The average of two numbers is 62. If 2 is added to the smaller number, then the ratio between them becomes 1 : 2. What is the smaller number?
- A60
- B30
- C84
- D40
Answer not set
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CCommunity
The average of two numbers = 62
∴ Total sum of the numbers = 62 × 2 = 124
Let one number is ‘x’ which is the smaller number, then the other number becomes ‘124 – x’. Now after 2 is added the ratio becomes 1 : 2
$(\Rightarrow \frac{{x + 2}}{{124 - x}} = \frac{1}{2})$
⇒ 2x + 4 = 124 – x
⇒ 2x + x = 124 – 4
⇒ 3x = 120
⇒ x = 40
∴ Total sum of the numbers = 62 × 2 = 124
Let one number is ‘x’ which is the smaller number, then the other number becomes ‘124 – x’. Now after 2 is added the ratio becomes 1 : 2
$(\Rightarrow \frac{{x + 2}}{{124 - x}} = \frac{1}{2})$
⇒ 2x + 4 = 124 – x
⇒ 2x + x = 124 – 4
⇒ 3x = 120
⇒ x = 40